Pith Number

pith:DL4WFF5F

pith:2006:DL4WFF5FNGYQCKEOBQYN24MCPC

not attested not anchored not stored refs pending

Subgraph posets and graph reconstruction

Bhalchandra D. Thatte

arxiv:math/0609574 v3 · 2006-09-20 · 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{DL4WFF5FNGYQCKEOBQYN24MCPC}

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	2026-05-18T01:35:05.401286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af96297a569b101288e0c30dd7182788b65589352852c55e210a695a11dd995

Aliases

arxiv: math/0609574 · arxiv_version: math/0609574v3 · doi: 10.48550/arxiv.math/0609574 · pith_short_12: DL4WFF5FNGYQ · pith_short_16: DL4WFF5FNGYQCKEO · pith_short_8: DL4WFF5F

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/DL4WFF5FNGYQCKEOBQYN24MCPC \
  | 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: 1af96297a569b101288e0c30dd7182788b65589352852c55e210a695a11dd995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3d15af8f85c3487eedc67860c78f8bfe0e185830e5aad5c66c922a66337310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-20T19:32:19Z",
    "title_canon_sha256": "95bc91c1b1ded7849b074b161264947616c8e00bfeaa1a35554d86044a9dae40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609574",
    "kind": "arxiv",
    "version": 3
  }
}