Pith Number

pith:AOENPMS5

pith:2012:AOENPMS5RSEK7YRJY2NSTFWXKY

not attested not anchored not stored refs pending

Almost split sequences and approximations

Charles Paquette, Puiman Ng, Shiping Liu

arxiv:1203.5009 v1 · 2012-03-19 · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOENPMS5RSEK7YRJY2NSTFWXKY}

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	2026-05-18T03:59:28.130815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0388d7b25d8c88afe229c69b2996d756161d6b395fa99683ba9538d39e83c7fb

Aliases

arxiv: 1203.5009 · arxiv_version: 1203.5009v1 · doi: 10.48550/arxiv.1203.5009 · pith_short_12: AOENPMS5RSEK · pith_short_16: AOENPMS5RSEK7YRJ · pith_short_8: AOENPMS5

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/AOENPMS5RSEK7YRJY2NSTFWXKY \
  | 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: 0388d7b25d8c88afe229c69b2996d756161d6b395fa99683ba9538d39e83c7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a01424e4241ac1290e91c8ce8e093e8fb8d4d865cae5fc3b32b13697e7f4862",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-03-19T01:00:26Z",
    "title_canon_sha256": "417e19cd618c3b68a181fca548efb5358ea63d6c03d978268a09c0f91bb9a217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5009",
    "kind": "arxiv",
    "version": 1
  }
}