Pith Number

pith:D7J5NFRY

pith:1999:D7J5NFRYR3GK7YP5R6B4JTJPUT

not attested not anchored not stored refs pending

Mod 2 cohomology of combinatorial Grassmannians

James F. Davis, Laura Anderson

arxiv:math/9911158 v1 · 1999-11-21 · math.GT · 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{D7J5NFRYR3GK7YP5R6B4JTJPUT}

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	2026-05-18T01:25:40.166346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd3d696388eccafe1fd8f83c4cd2fa4e738b479b4185f3476d2d730f95a586b

Aliases

arxiv: math/9911158 · arxiv_version: math/9911158v1 · doi: 10.48550/arxiv.math/9911158 · pith_short_12: D7J5NFRYR3GK · pith_short_16: D7J5NFRYR3GK7YP5 · pith_short_8: D7J5NFRY

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/D7J5NFRYR3GK7YP5R6B4JTJPUT \
  | 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: 1fd3d696388eccafe1fd8f83c4cd2fa4e738b479b4185f3476d2d730f95a586b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b13fe4a75a719cbc34483e3b2c1913925fab02fa01a61acc30cf031bb9c7847",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-21T00:32:48Z",
    "title_canon_sha256": "770b878b76a9a48c5c5207b1e56523d0a95656dbd8319d01cdbcee99f5000bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911158",
    "kind": "arxiv",
    "version": 1
  }
}