Pith Number

pith:W4ERCXQ5

pith:2017:W4ERCXQ5IPJ4BFLRCF7T5DKEJD

not attested not anchored not stored refs pending

Asymptotic expansions of holonomy

Erlend Grong, Pierre Pansu

arxiv:1701.02570 v1 · 2017-01-10 · 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{W4ERCXQ5IPJ4BFLRCF7T5DKEJD}

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	2026-05-18T00:53:03.962547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b709115e1d43d3c09571117f3e8d4448f57ddbf6bc213afea394c0dab765d0bb

Aliases

arxiv: 1701.02570 · arxiv_version: 1701.02570v1 · doi: 10.48550/arxiv.1701.02570 · pith_short_12: W4ERCXQ5IPJ4 · pith_short_16: W4ERCXQ5IPJ4BFLR · pith_short_8: W4ERCXQ5

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/W4ERCXQ5IPJ4BFLRCF7T5DKEJD \
  | 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: b709115e1d43d3c09571117f3e8d4448f57ddbf6bc213afea394c0dab765d0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a6ce85a37433f7ad6ce843661d6b10208367d112447085dc34d7e967bb2719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-10T13:09:46Z",
    "title_canon_sha256": "ab65c5927379096862a6365249ab874c8aa5dfbc5cc457f8565d2cafe3707c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02570",
    "kind": "arxiv",
    "version": 1
  }
}