Pith Number

pith:T2YGGPZF

pith:2012:T2YGGPZFABVT75UAMFMMIAS6ZZ

not attested not anchored not stored refs pending

On the Slice Spectral Sequence

John Ullman

arxiv:1206.0058 v3 · 2012-06-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2YGGPZFABVT75UAMFMMIAS6ZZ}

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	2026-05-18T02:41:43.117196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb0633f25006b3ff6806158c4025ece6f37c64719658418720a120805541afb

Aliases

arxiv: 1206.0058 · arxiv_version: 1206.0058v3 · doi: 10.48550/arxiv.1206.0058 · pith_short_12: T2YGGPZFABVT · pith_short_16: T2YGGPZFABVT75UA · pith_short_8: T2YGGPZF

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/T2YGGPZFABVT75UAMFMMIAS6ZZ \
  | 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: 9eb0633f25006b3ff6806158c4025ece6f37c64719658418720a120805541afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c45911803815f262263683a52ba247ade5b6e9e2a852d6bc8fc769b97d745f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-01T00:40:10Z",
    "title_canon_sha256": "97b6850b7b0e16b3bf805e9a8eb860350b936834f2132cce29d5c74c4f46dedb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0058",
    "kind": "arxiv",
    "version": 3
  }
}