Pith Number

pith:EG2MXHB4

pith:2014:EG2MXHB4GFNESC5PNRNV2IS7XH

not attested not anchored not stored refs pending

Isolated orderings on amalgamated free products

Tetsuya Ito

arxiv:1405.1163 v1 · 2014-05-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EG2MXHB4GFNESC5PNRNV2IS7XH}

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	2026-05-18T02:52:33.354247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b4cb9c3c315a490baf6c5b5d225fb9ece22fc50785c1cada2197a642c0f103

Aliases

arxiv: 1405.1163 · arxiv_version: 1405.1163v1 · doi: 10.48550/arxiv.1405.1163 · pith_short_12: EG2MXHB4GFNE · pith_short_16: EG2MXHB4GFNESC5P · pith_short_8: EG2MXHB4

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/EG2MXHB4GFNESC5PNRNV2IS7XH \
  | 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: 21b4cb9c3c315a490baf6c5b5d225fb9ece22fc50785c1cada2197a642c0f103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089b10bce9a3e33f024f6fe59e10e0732a4c858e363d945f6d8c5e25d0bafa4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-06T06:32:16Z",
    "title_canon_sha256": "fe50c754fe4d9603ea717330009228a0489002d9241f00ffd2c996fd77430879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1163",
    "kind": "arxiv",
    "version": 1
  }
}