Pith Number

pith:77KCUVSG

pith:2020:77KCUVSGARU6RN5I66D3AAH5I2

not attested not anchored not stored refs pending

On the number of alternating paths in random graphs

Andrzej Dudek, Patrick Bennett, Ryan Cushman

arxiv:2001.09369 v1 · 2020-01-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77KCUVSGARU6RN5I66D3AAH5I2}

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	2026-07-05T00:35:58.774360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd42a56460469e8b7a8f787b000fd4696a4328c2c2da20f6ec0473fa9d86003

Aliases

arxiv: 2001.09369 · arxiv_version: 2001.09369v1 · doi: 10.48550/arxiv.2001.09369 · pith_short_12: 77KCUVSGARU6 · pith_short_16: 77KCUVSGARU6RN5I · pith_short_8: 77KCUVSG

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/77KCUVSGARU6RN5I66D3AAH5I2 \
  | 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: ffd42a56460469e8b7a8f787b000fd4696a4328c2c2da20f6ec0473fa9d86003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38931a9b1673ac84c63d260584b0f81e42763edaf2e0b0aa3196acaae6c09b5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-01-25T22:51:56Z",
    "title_canon_sha256": "a75bbefa841d0166fefb3d8887290044f7b96a860f67af14cf02b270bcae7785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09369",
    "kind": "arxiv",
    "version": 1
  }
}