Pith Number

pith:IUQAPMGN

pith:2010:IUQAPMGNEB6FCLMEWSKMCTWQUL

not attested not anchored not stored refs pending

Some remarks on Morse theory for posets, homological Morse theory and finite manifolds

Elias Gabriel Minian

arxiv:1007.1930 v2 · 2010-07-12 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUQAPMGNEB6FCLMEWSKMCTWQUL}

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	2026-05-18T03:55:57.703659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

452007b0cd207c512d84b494c14ed0a2c0c91f1bc68e36bf84c9aa1f4215e6a8

Aliases

arxiv: 1007.1930 · arxiv_version: 1007.1930v2 · doi: 10.48550/arxiv.1007.1930 · pith_short_12: IUQAPMGNEB6F · pith_short_16: IUQAPMGNEB6FCLME · pith_short_8: IUQAPMGN

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/IUQAPMGNEB6FCLMEWSKMCTWQUL \
  | 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: 452007b0cd207c512d84b494c14ed0a2c0c91f1bc68e36bf84c9aa1f4215e6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73707cef2a6e13cc297749fe4a2101d5d823ad460bf39c0da08f4c452e1de749",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-07-12T16:01:40Z",
    "title_canon_sha256": "0bbd239dd064a784e8669081b9c30fb171b2d041b888424c280d857d18624ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1930",
    "kind": "arxiv",
    "version": 2
  }
}