Pith Number

pith:JDPN5VEN

pith:2016:JDPN5VENIMPQRX7MJZOKQCOJ6U

not attested not anchored not stored refs pending

On the algebraic stringy Euler number

Giuliano Gagliardi, Victor Batyrev

arxiv:1610.03842 v2 · 2016-10-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDPN5VENIMPQRX7MJZOKQCOJ6U}

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	2026-05-18T00:31:51.846278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48deded48d431f08dfec4e5ca809c9f50e2c7f28835c9c192183756bfb4fbfcf

Aliases

arxiv: 1610.03842 · arxiv_version: 1610.03842v2 · doi: 10.48550/arxiv.1610.03842 · pith_short_12: JDPN5VENIMPQ · pith_short_16: JDPN5VENIMPQRX7M · pith_short_8: JDPN5VEN

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/JDPN5VENIMPQRX7MJZOKQCOJ6U \
  | 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: 48deded48d431f08dfec4e5ca809c9f50e2c7f28835c9c192183756bfb4fbfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182d77e148cb5641c1df4149ee18b2615c56d09ce2062c00011b1fdcd87125d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-12T19:54:42Z",
    "title_canon_sha256": "c8b6ebb4ca8ce692a7b4cbad1802148f4e42735ca7143732549ffec394c63e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03842",
    "kind": "arxiv",
    "version": 2
  }
}