Pith Number

pith:XOOAPN6O

pith:2010:XOOAPN6OPM3MT7T4KB3DKLYUW3

not attested not anchored not stored refs pending

Harmonic cohomology of symplectic fiber bundles

Oliver Ebner, Stefan Haller

arxiv:1004.2218 v1 · 2010-04-13 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOOAPN6OPM3MT7T4KB3DKLYUW3}

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	2026-05-18T04:23:54.498826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9c07b7ce7b36c9fe7c5076352f14b6f8a7f8c17d534035562e5219d5b69dfd

Aliases

arxiv: 1004.2218 · arxiv_version: 1004.2218v1 · doi: 10.48550/arxiv.1004.2218 · pith_short_12: XOOAPN6OPM3M · pith_short_16: XOOAPN6OPM3MT7T4 · pith_short_8: XOOAPN6O

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/XOOAPN6OPM3MT7T4KB3DKLYUW3 \
  | 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: bb9c07b7ce7b36c9fe7c5076352f14b6f8a7f8c17d534035562e5219d5b69dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94d956012161ebf5cccaacdef2a3b412343357eeeef8d0f6551d80c33ef227d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-13T15:24:49Z",
    "title_canon_sha256": "d40c00448323af84ffcc4082c7bcb756bbee6dce371cdecec4e70841548cbf7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2218",
    "kind": "arxiv",
    "version": 1
  }
}