Pith Number

pith:JNIQ4GSP

pith:2011:JNIQ4GSPNS37GFTSJPNAZHXL3C

not attested not anchored not stored refs pending

Physarum Can Compute Shortest Paths

Girish Varma, Kurt Mehlhorn, Vincenzo Bonifaci

arxiv:1106.0423 v3 · 2011-06-02 · cs.DS · cs.CE · cs.ET · cs.SY · math.DS · math.OC · physics.bio-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNIQ4GSPNS37GFTSJPNAZHXL3C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:42:03.621202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b510e1a4f6cb7f316724bda0c9eebd8adb1efdb5252aa920e5d9702f15ab560

Aliases

arxiv: 1106.0423 · arxiv_version: 1106.0423v3 · doi: 10.48550/arxiv.1106.0423 · pith_short_12: JNIQ4GSPNS37 · pith_short_16: JNIQ4GSPNS37GFTS · pith_short_8: JNIQ4GSP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JNIQ4GSPNS37GFTSJPNAZHXL3C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4b510e1a4f6cb7f316724bda0c9eebd8adb1efdb5252aa920e5d9702f15ab560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8dc4e42b26c3c70e1e26f57a9ab18daf978c8ef4be5df051130d89965cb4df1",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.ET",
      "cs.SY",
      "math.DS",
      "math.OC",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-06-02T13:08:09Z",
    "title_canon_sha256": "90ba99c85800472a474c3e6bdaf62691916c3b556d78cd2278a26757ee59b565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0423",
    "kind": "arxiv",
    "version": 3
  }
}