Pith Number

pith:GTRE2MBT

pith:2014:GTRE2MBTC3ZKQNI5VC44PVV7O4

not attested not anchored not stored refs pending

A Subgroup Theorem for Homological Filling Functions

Eduardo Martinez-Pedroza, Richard Gaelan Hanlon

arxiv:1406.1046 v2 · 2014-06-04 · math.GR · 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{GTRE2MBTC3ZKQNI5VC44PVV7O4}

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	2026-05-18T01:35:01.042402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e24d303316f2a8351da8b9c7d6bf773b2c0705157d8676f7c412d5a164f20c

Aliases

arxiv: 1406.1046 · arxiv_version: 1406.1046v2 · doi: 10.48550/arxiv.1406.1046 · pith_short_12: GTRE2MBTC3ZK · pith_short_16: GTRE2MBTC3ZKQNI5 · pith_short_8: GTRE2MBT

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/GTRE2MBTC3ZKQNI5VC44PVV7O4 \
  | 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: 34e24d303316f2a8351da8b9c7d6bf773b2c0705157d8676f7c412d5a164f20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6d7ef24a56e8880f538676015f9dc4f431d5af58edf7dd5181c2fba57a018c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-04T13:55:31Z",
    "title_canon_sha256": "c4682107a0c2ca3ff14c5a215de1d59107b6f741376dd225ffd52dddc1d680ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1046",
    "kind": "arxiv",
    "version": 2
  }
}