Pith Number

pith:GQEN6B6B

pith:2009:GQEN6B6BMC4GEDAKE2RJDNK3DJ

not attested not anchored not stored refs pending

Indirect Influences

Rafael Diaz

arxiv:0906.1610 v2 · 2009-06-08 · 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{GQEN6B6BMC4GEDAKE2RJDNK3DJ}

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	2026-05-18T02:43:59.586044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3408df07c160b8620c0a26a291b55b1a406355910dddf26071413d7b8078df3f

Aliases

arxiv: 0906.1610 · arxiv_version: 0906.1610v2 · doi: 10.48550/arxiv.0906.1610 · pith_short_12: GQEN6B6BMC4G · pith_short_16: GQEN6B6BMC4GEDAK · pith_short_8: GQEN6B6B

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/GQEN6B6BMC4GEDAKE2RJDNK3DJ \
  | 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: 3408df07c160b8620c0a26a291b55b1a406355910dddf26071413d7b8078df3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8900640f39a109ea958fde6f9a0248fb8a88c64420e023c8f8b78d5bfc459f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-08T22:04:08Z",
    "title_canon_sha256": "47a8396f56228a3e58d3aa6fc6b9c1daac01f554b383aeae5995c8e4146e2b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1610",
    "kind": "arxiv",
    "version": 2
  }
}