Pith Number

pith:4LGIFXZH

pith:2008:4LGIFXZHQ4K64PFUIHOCTPRTK7

not attested not anchored not stored refs pending

Topology of the octonionic flag manifold

Augustin-Liviu Mare, Matthieu Willems

arxiv:0809.4318 v3 · 2008-09-25 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LGIFXZHQ4K64PFUIHOCTPRTK7}

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	2026-05-18T03:30:03.340010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cc82df278715ee3cb441dc29be3357edde18bfcd177294f868ff0de6d2209c

Aliases

arxiv: 0809.4318 · arxiv_version: 0809.4318v3 · doi: 10.48550/arxiv.0809.4318 · pith_short_12: 4LGIFXZHQ4K6 · pith_short_16: 4LGIFXZHQ4K64PFU · pith_short_8: 4LGIFXZH

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/4LGIFXZHQ4K64PFUIHOCTPRTK7 \
  | 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: e2cc82df278715ee3cb441dc29be3357edde18bfcd177294f868ff0de6d2209c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4180ed2fcf59d70802b2d33cb88d8e973d4f7cc6007a25518ff5096d2d4343aa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-09-25T04:12:51Z",
    "title_canon_sha256": "546248d86b206f04f8620a7dc8c2ff4d236a923bc0a424424d7d213fe50155d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4318",
    "kind": "arxiv",
    "version": 3
  }
}