Pith Number

pith:SYBKUFXF

pith:2011:SYBKUFXFHVER2PAUHWFE2L2R43

not attested not anchored not stored refs pending

The head and tail conjecture for alternating knots

Cody Armond

arxiv:1112.3995 v1 · 2011-12-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYBKUFXFHVER2PAUHWFE2L2R43}

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	2026-05-18T02:41:43.484307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9602aa16e53d491d3c143d8a4d2f51e6c03ed62734022cd6dca12c5e85abb8cd

Aliases

arxiv: 1112.3995 · arxiv_version: 1112.3995v1 · doi: 10.48550/arxiv.1112.3995 · pith_short_12: SYBKUFXFHVER · pith_short_16: SYBKUFXFHVER2PAU · pith_short_8: SYBKUFXF

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/SYBKUFXFHVER2PAUHWFE2L2R43 \
  | 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: 9602aa16e53d491d3c143d8a4d2f51e6c03ed62734022cd6dca12c5e85abb8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b459cc88cb3481b62a1ce01916dd500fb38f4d5ee03ce35a882c7cd4cf25e7ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-16T23:24:57Z",
    "title_canon_sha256": "b884c4f2a02be67352dedce586cdc8f79eea40613064bc63f39d9fb2c72c7192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3995",
    "kind": "arxiv",
    "version": 1
  }
}