Pith Number

pith:3H6PTRD3

pith:2017:3H6PTRD3KKHCJRLQWQHW57YPHP

not attested not anchored not stored refs pending

Secret sharing on large girth graphs

Laszlo Csirmaz, Peter Ligeti

arxiv:1705.10520 v1 · 2017-05-30 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H6PTRD3KKHCJRLQWQHW57YPHP}

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	2026-05-18T00:43:24.378605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9fcf9c47b528e24c570b40f6eff0f3bdfe9f8a5fb152ffd3f0e30253f4e56b6

Aliases

arxiv: 1705.10520 · arxiv_version: 1705.10520v1 · doi: 10.48550/arxiv.1705.10520 · pith_short_12: 3H6PTRD3KKHC · pith_short_16: 3H6PTRD3KKHCJRLQ · pith_short_8: 3H6PTRD3

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/3H6PTRD3KKHCJRLQWQHW57YPHP \
  | 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: d9fcf9c47b528e24c570b40f6eff0f3bdfe9f8a5fb152ffd3f0e30253f4e56b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380fc1f1957a26cab10d5c7de513f341af387b684836994f7a01a0e7780d5423",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-05-30T09:36:18Z",
    "title_canon_sha256": "09cab366dfe5f6c0a4ab2ad8811839aa21004b33d86ba9716b64179d5da74021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10520",
    "kind": "arxiv",
    "version": 1
  }
}