Pith Number

pith:OYR5R7Z2

pith:2015:OYR5R7Z2LXJ3Y3SOVNN4XBZ3JN

not attested not anchored not stored refs pending

Using simplicial volume to count maximally broken Morse trajectories

Hannah Alpert

arxiv:1506.04789 v1 · 2015-06-15 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYR5R7Z2LXJ3Y3SOVNN4XBZ3JN}

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	2026-05-18T01:01:58.209074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7623d8ff3a5dd3bc6e4eab5bcb873b4b7f84cb387d6b54e61050bc8ba5f710db

Aliases

arxiv: 1506.04789 · arxiv_version: 1506.04789v1 · doi: 10.48550/arxiv.1506.04789 · pith_short_12: OYR5R7Z2LXJ3 · pith_short_16: OYR5R7Z2LXJ3Y3SO · pith_short_8: OYR5R7Z2

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/OYR5R7Z2LXJ3Y3SOVNN4XBZ3JN \
  | 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: 7623d8ff3a5dd3bc6e4eab5bcb873b4b7f84cb387d6b54e61050bc8ba5f710db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c57cbacf9b96fd694fb968b54404d6dd0a953e8811993872cdb9160fb4f40a0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-15T22:13:38Z",
    "title_canon_sha256": "b45a393846929419dba3e2c34f2334f2dd67819ffccfc36d7e3a8a08c2668a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04789",
    "kind": "arxiv",
    "version": 1
  }
}