Pith Number

pith:AGTRDGVN

pith:2015:AGTRDGVNJMPZHGJOYVIPFMPJFP

not attested not anchored not stored refs pending

Duality theory and optimal transport for sand piles growing in a silos

Chlo\'e Jimenez, Luigi De Pascale

arxiv:1501.01092 v2 · 2015-01-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGTRDGVNJMPZHGJOYVIPFMPJFP}

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	2026-05-18T02:16:40.994227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a7119aad4b1f93992ec550f2b1e92be4d9d5cf46a45c69319c17ddb86c64fc

Aliases

arxiv: 1501.01092 · arxiv_version: 1501.01092v2 · doi: 10.48550/arxiv.1501.01092 · pith_short_12: AGTRDGVNJMPZ · pith_short_16: AGTRDGVNJMPZHGJO · pith_short_8: AGTRDGVN

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/AGTRDGVNJMPZHGJOYVIPFMPJFP \
  | 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: 01a7119aad4b1f93992ec550f2b1e92be4d9d5cf46a45c69319c17ddb86c64fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674b4acabc8cae5dfa7509b3104492900ef949e05c98c607e0444e0e3f875ffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-06T07:20:03Z",
    "title_canon_sha256": "1d39f63eca7629532bf11ce79b615f8ccd4a5395a236b80d70c891767689c95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01092",
    "kind": "arxiv",
    "version": 2
  }
}